Physics - EMI/AC Question with Solution | TestHub

PhysicsEMI/ACInduced Electric FieldHard2 minPYQ_2020
PhysicsHardnumerical

A ring of mass4 kgis uniformly charged with a linear charge densityλ=4 C cm-1and kept on a rough horizontal surface with a friction coefficient ofμ=π4. A time-varying magnetic fieldB=B0t2is applied in a circular region of radiusaa<rperpendicular to the plane of the ring as shown in the figure. Find out the time when the ring just starts to rotate on the surface. (takea=5 cm,g=10 m s-2andB0=125SI units)

Answer:
4.00
Solution:

Induced electric field,
E(2πr)=dt
E=πa22B0t2πr
Torque due to field about centre of ring,
τ1=(qE)r=(λ(2πr))2πa2B0t2πrr
The ring starts rotating when,
τdue to electric field=τdue to friction.
τ1=μmgr
Solving,
t=μmg2πa2B0λ=4 s.

Stream:JEESubject:PhysicsTopic:EMI/ACSubtopic:Induced Electric Field
2mℹ️ Source: PYQ_2020

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